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3 years ago

-2.3 + 10.8 + (-8.4)

Mathematics

1 answer:

spayn [35]3 years ago

6 0

Answer:

Step-by-step explanation:

Try and take it step by step.

-2.3 + 10.8 + (-8.4)

First let's rearrange and combine the negatives.

-2.3 + (-8.4) + 10.8

-2.3 + (-8.4) = - 10.7

Let's rewrite

10.8 - 10.7 and solve!

10.8 - 10.7 = .1

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The pressure and volume of an expanding gas are related by the formula PV^b=C, where b and C are constants (this holds in adiaba

bazaltina [42]

The dP/dt of the adiabatic expansion is -42/11 kPa/min

<h3>How to calculate dP/dt in an adiabatic expansion?</h3>

An adiabatic process is a process in which there is no exchange of heat from the system to its surrounding neither during expansion nor during compression

Given b=1.5, P=7 kPa, V=110 cm³, and dV/dt=40 cm³/min

PVᵇ = C

Taking logs of both sides gives:

ln P + b ln V = ln C

Taking partial derivatives gives:

$\frac{1}{P}\frac{∂P}{∂t} + \frac{b}{V}\frac{∂V}{∂t} = 0$

Substitutituting the values b, P, V and dV/dt into the derivative above:

1/7 x dP/dt + 1.5/110 x 40 = 0

1/7 x dP/dt + 6/11 = 0

1/7 x dP/dt = - 6/11

dP/dt = - 6/11 x 7

dP/dt = -42/11 kPa/min

Therefore, the value of dP/dt is -42/11 kPa/min

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4 0

1 year ago

18) Solve for x. (-2x-6° X )

aalyn [17]

Answer:

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Step-by-step explanation:

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3 0

2 years ago

Read 2 more answers

3z + 2 + (-52) + 6<br> Help !!!

Norma-Jean [14]

Answer:

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Step-by-step explanation:

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8 0

3 years ago

HELP ASAP : Find the largest value of n such that 5x^2+nx+48 can be factored as the product of two linear factors with integer c

Anna71 [15]

Answer:

$n=241$

Step-by-step explanation:

We are given

$5x^2+nx+48$

Let's assume it can be factored as

$5x^2+nx+48=(5x-s)(x-r)$

now, we can multiply right side

and then we can compare it

$5x^2+nx+48=5x^2-5rx-sx+rs$

$5x^2+nx+48=5x^2-(5r+s)x+rs$

now, we can compare coefficients

$rs=48$

$5r+s=-n$

$n=-(5r+s)$

now, we can find all possible factors of 48

and then we can assume possible prime factors of 48

$48=-+(1\times 48)$

$48=-+(2\times 24)$

$48=-+(3\times 16)$

$48=-+(4\times 12)$

$48=-+(6\times 8)$

Since, we have to find the largest value of n

So, we will get consider larger value of r because of 5r

and because n is negative of 5r+s

so, we will both n and r as negative

So, we can assume

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so, we get

$n=-(5\times -48-1)$

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7 0

3 years ago

Find the first partial derivatives of the function. (sn = x1 + 2x2 + ... + nxn; i = 1, ..., n. give your answer only in terms of

liq [111]

Answer:

∂u/∂xi = i·cos(sn)

Step-by-step explanation:

For u = sin(v), the partial derivative of u with respect to xi is ...

∂u/∂xi = cos(v)·∂v/xi

In this case, v=sn, and ∂sn/∂xi = i, so the derivatives of interest are ...

∂u/∂xi = i·cos(sn)

6 0

3 years ago